Two air track carts move toward one another on an air track. Cart 1 has a mass of 0.53 kg and a...

Question:

Two air track carts move toward one another on an air track. Cart 1 has a mass of 0.53 kg and a speed of 0.8 m/s. Cart 2 has a mass of 0.67 kg.

a) What speed must cart 2 have if the total momentum of the system is zero?

b) Since the momentum of the system is zero, does it follow that the kinetic energy of the system is also zero?

c) Verify your answer to part b) by calculating the system's kinetic energy.

Energy and momentum:

The momentum p of an object is defined as a quantity of its motion. It can be mathematically described by:

{eq}p = mv {/eq}

where:

  • m is the mass of the object
  • v is its velocity

On the other hand, kinetic energy is defined as the ability to do work. It can be described as:

{eq}\displaystyle KE = \frac{1}{2}mv^2 {/eq}

Answer and Explanation:

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(a) If the total momentum of the system is to be zero, then the momentum of cart 2 must be the same as that of cart 1 in order to satisfy momentum...

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Linear Momentum, Impulse & Energy Conservation

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Chapter 49 / Lesson 1
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In this lesson, you'll learn about linear momentum, impulse, and energy conservation. These are all important components of collisions, which can be large, small, and everything in between!


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